A mollified approach to reconstruct an unknown boundary condition for the heat conduction equation of fractional order
by Afshin Babaei; Seddigheh Banihashemi
International Journal of Computing Science and Mathematics (IJCSM), Vol. 14, No. 4, 2021

Abstract: We consider an inverse problem of time fractional heat conduction problem. It is shown that the problem is ill-posed. A method is investigated based on the finite difference to find heat distribution and boundary values. The discrete mollification regularisation is applied to obtain a stable numerical solution. Finally, some test problems are investigated to show the ability of the proposed scheme.

Online publication date: Thu, 03-Feb-2022

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